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Proof step 5 from proof abs-gstore-set-lebsize (previous step)

gstore[n3] = groupblock(gndx, lax, m), lpt[n] = mklp(n0, n1, LP_GROUP_NODES, n2), n < # avol, ∀ n. (n < # lpt ∧ lpt[n].flags = LP_GROUP_NODES ↔ n ∈ gstore) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], gstore[n], lpt[n])) ∧ (n ∈ gstore → lpt[n].ref-size = gstore[n].ref-size) ⊦ (n3 < # lpt ∧ lpt[n, mklp(n0, LEB_SIZE, LP_GROUP_NODES, n2)][n3].flags = LP_GROUP_NODES ↔ n3 ∈ gstore) ∧ (n3 ∈ gstore ∧ ¬ n3 ∈ ginval → abs-leb(avol[n3], groupblock(gndx, lax, m), lpt[n, mklp(n0, LEB_SIZE, LP_GROUP_NODES, n2)][n3])) ∧ (n3 ∈ gstore → lpt[n, mklp(n0, LEB_SIZE, LP_GROUP_NODES, n2)][n3].ref-size = m)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: lprops name: elim seq: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1) subst: [lp, m, m0, lpf, m1] → [lpt[n, mklp(n0, LEB_SIZE, LP_GROUP_NODES, n2)][n3], m0, m1, lpf, m2]

Additional information

Used simplifier rules: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1); (elim) Used terms: lpt[n, mklp(n0, LEB_SIZE, LP_GROUP_NODES, n2)][n3], m0, m1, lpf, m2